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12023883144 = 233271323731093
BaseRepresentation
bin10110011001010110…
…11110010110001000
31011000222001112212100
423030223132112020
5144111103230034
65305041313400
7603651214620
oct131453362610
934028045770
1012023883144
115110194409
1223b6935860
1311980a7570
14820c77880
154a58dc099
hex2ccade588

12023883144 has 384 divisors, whose sum is σ = 42433896960. Its totient is φ = 2988969984.

The previous prime is 12023883143. The next prime is 12023883197. The reversal of 12023883144 is 44138832021.

It is a happy number.

12023883144 is a `hidden beast` number, since 1 + 202 + 388 + 31 + 44 = 666.

12023883144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12023883099 and 12023883108.

It is not an unprimeable number, because it can be changed into a prime (12023883143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11000262 + ... + 11001354.

It is an arithmetic number, because the mean of its divisors is an integer number (110504940).

Almost surely, 212023883144 is an apocalyptic number.

12023883144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12023883144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21216948480).

12023883144 is an abundant number, since it is smaller than the sum of its proper divisors (30410013816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12023883144 is a wasteful number, since it uses less digits than its factorization.

12023883144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12023883144 in words is "twelve billion, twenty-three million, eight hundred eighty-three thousand, one hundred forty-four".